Question: a) Solve the following linear program graphically. (Graph constraints & locate the optimal point.) b) Determine the optimal point coordinates. c) Compute the optimal value.

a) Solve the following linear program graphically. (Graph constraints & locate the optimal point.)

a) Solve the following linear program

b) Determine the optimal point coordinates. c) Compute the optimal value. d) Compute the allowable increase and decrease for each of the objective function coefficients. e) Compute the shadow prices for each of the constraints. Min 3x + 6y s.t. 2x + y >= 12 x + 2y >= 14 x + y >= 10 X, y >= 0

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